GCD of 728, 782, 151, 270 Calculator

Given Input numbers are 728, 782, 151, 270

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 151

List of positive integer divisors of 151 that divides 151 without a remainder.

1, 151

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Greatest Common Divisior

We found the divisors of 728, 782, 151, 270 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 782, 151, 270 is 1.

Therefore, GCD of numbers 728, 782, 151, 270 is 1

Given Input Data is 728, 782, 151, 270

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 151 is 151

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(728, 782) = 284648

GCD(728, 782) = ( 728 x 782 ) / 284648

GCD(728, 782) = 569296 / 284648

GCD(728, 782) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 151

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 151) = 302

GCD(2, 151) = ( 2 x 151 ) / 302

GCD(2, 151) = 302 / 302

GCD(2, 151) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 270

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 270) = 270

GCD(1, 270) = ( 1 x 270 ) / 270

GCD(1, 270) = 270 / 270

GCD(1, 270) = 1

GCD of 728, 782, 151, 270 is 1

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1. What is the GCD of 728, 782, 151, 270?

GCD of 728, 782, 151, 270 is 1

2. Where do I get the detailed procedure to find GCD of 728, 782, 151, 270?

You can find a detailed procedure to find GCD of 728, 782, 151, 270 on our page.

3. How to find GCD of 728, 782, 151, 270 on a calculator?

You can find the GCD of 728, 782, 151, 270 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.